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Finding the Fourth Proportional to 57,046.65, 78,723 and 31,552.35

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Solution

The fourth proportional to 57,046.65, 78,723 and 31,552.35 is: 43,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046.65 : 78,723 = 31,552.35 : x
  2. Step 2: Convert to fraction form
    57,046.65/78,723 = 31,552.35/x
  3. Step 3: Cross multiply
    57,046.65x = 78,723 × 31,552.35
  4. Step 4: Simplify right side
    57,046.65x = 2,483,895,649.05
  5. Step 5: Solve for x
    x = 2,483,895,649.05/57,046.65
  6. Step 6: Final answer
    x = 43,541.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.